Final answer:
Nic figures out Horatio is Auralia's father through dialogue and observations in Shakespeare's play Hamlet.
Step-by-step explanation:
In Shakespeare's play Hamlet, Nic figures out that Horatio is Auralia's father through dialogue and his observations. In Act II, Polonius mentions to Horatio that Hamlet himself said, 'What a piece of work is man, how noble in reason, how infinite in faculties,' suggesting that Horatio is the father of Auralia. Additionally, Horatio's actions and interactions with Auralia throughout the play provide further evidence of their relationship.